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Spatially Variant PSF Deconvolution
Some forms of blur cannot be described by a single PSF across the whole image. These types of blur include optical aberrations such as spherical aberrations and images showing variable focus levels in the same picture (e.g. close objects blurred, distant objects in focus or vice versa)
Restoring these images reqiures deconvolution that can handle a separate PSF at every point in the image. Unfortunatley, very few software solutions allow this. Even those programs that claim to allow 'spatially variant PSF' deconvolution seem to fall short of true spatial variance in that they only allow the PSF to change from one region to another - within any given region the PSF must be constant. This is a severe limitation when dealing in real world situations where the PSF gradually and smoothly changes across the whole field or even radically changes within a small space (such as atmospheric turbulence blur).
The Biaram programs ConvolVP and DeconVP are free of such limitations in that they allow spatially variant convolution and deconvolution with a completely separate PSF allowed for each and every pixel position in the input image. These PSFs need not be related and may be completely independent. Thus this is a truly spatially variant PSF implementation.
One limitation of this powerful implementation, however, is that the running of these programs reqires a lot of computer resources. A small image of 128x128 pixels, having 16384 pixels, requires you to supply upto 16384 separate PSF files. In the following examples I have used small test images that have been blurred in the computer (using ConvolVP) with sets of PSFs generated mathematically to simulate certain types of blur. These therefore serve as a test of the accuracy of the algorithms rather than a demonstration of their application to real-world situations (where the main burden of effort will be in generating the PSF set)
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Dr P. J. Tadrous 2007-2010